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Finding the Fourth Proportional to 140,491.97, 210,769.29 and 40,659.77

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Solution

The fourth proportional to 140,491.97, 210,769.29 and 40,659.77 is: 60,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,491.97 : 210,769.29 = 40,659.77 : x
  2. Step 2: Convert to fraction form
    140,491.97/210,769.29 = 40,659.77/x
  3. Step 3: Cross multiply
    140,491.97x = 210,769.29 × 40,659.77
  4. Step 4: Simplify right side
    140,491.97x = 8,569,831,381.39
  5. Step 5: Solve for x
    x = 8,569,831,381.39/140,491.97
  6. Step 6: Final answer
    x = 60,998.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.